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Lecture3-Boolean Algebra

# Lecture3-Boolean Algebra - Points Addressed in this Lecture...

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Feb 2007 3.1 Aero 2 Signals & Systems (Part 2) Lecture 3: Boolean Algebra Professor Peter Cheung Department of EEE, Imperial College London (Floyd 4.1-4.4, 5.2-5.4) (Tocci 3.8-3.14) Feb 2007 Aero 2 Signals & Systems (Part 2) Points Addressed in this Lecture Theorems & rules in Boolean algebra • DeMorgan’s Theorems Universality of NAND & NOR gates Active low & Active high Digital Integrated Circuits Feb 2007 3.3 Aero 2 Signals & Systems (Part 2) Laws of Boolean Algebra Commutative Laws Associative Laws Distributive Law Feb 2007 3.4 Aero 2 Signals & Systems (Part 2) Commutative Laws of Boolean Algebra A + B = B + A A B = B A

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Feb 2007 3.5 Aero 2 Signals & Systems (Part 2) Associative Laws of Boolean Algebra A + (B + C) = (A + B) + C A (B C) = (A B) C Feb 2007 3.6 Aero 2 Signals & Systems (Part 2) Distributive Laws of Boolean Algebra A (B + C) = A B + A C A (B + C) = A B + A C Feb 2007 3.7 Aero 2 Signals & Systems (Part 2) Rules of Boolean Algebra Feb 2007 3.8 Aero 2 Signals & Systems (Part 2) Rules of Boolean Algebra OR Truth Table AND Truth Table Rule 1 Rule 2 Rule 3 Rule 4